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Finding the Fourth Proportional to 242.88, 335.22 and 230.76

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Solution

The fourth proportional to 242.88, 335.22 and 230.76 is: 318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.88 : 335.22 = 230.76 : x
  2. Step 2: Convert to fraction form
    242.88/335.22 = 230.76/x
  3. Step 3: Cross multiply
    242.88x = 335.22 × 230.76
  4. Step 4: Simplify right side
    242.88x = 77,355.37
  5. Step 5: Solve for x
    x = 77,355.37/242.88
  6. Step 6: Final answer
    x = 318.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.